A circular picture is 8 inches in diameter.

What is the area of the picture in square inches?

A. 4π square inches
B. 8π square inches
C. 16π square inches
D. 32π square inches

16π square inches

Step-by-step explanation:

We know the relation between diameter and radius of the circle is that a diameter if half a radius so the diameter halved will give us the radius so, 8 ÷ 2 = 4. The radius of the circular picture is 4 inches and we have to utilise and important formula, the area of a circle which is

→ π × r²

⇆ We have to substitute in the values of the radius so

→ π × r²

⇆ Substitute in the values

→ π × 4²

⇆ Simplify

16π

We can see that all the answer options are in π format so we don't convert the answer so the area of the circular picture is 16π square inches

step-by-step explanation:

compare

(2x + 16) + (x) = 180

step-by-step explanation:

given,

abcd is a quadrilateral inscribed in a circle

angle a is labeled x plus 16, (x + 16)

angle b is labeled x degrees, (x)

angle c is labeled 6x minus 4, (6x – 4)

angle d is labeled 2x plus 16, (2x + 16)

what equation can be used to solve for angle b?

we know that the sum of the opposite angles of a simple quadrilateral inscribed in a circle is 180 degrees.

angle b is opposite angle d

therefore, angle b + angle d = 180

(x) + (2x + 16) = 180 

same as (2x + 16) + (x) = 180